6.a train starts from rest and accelerates uniformly until it has traveled 5.6 km and acquired a velocity of 42m/s what is the approximate acceleration of the train during this time?
0.17 m/s2
0.20 m/s2
0.16 m/s2
0.14 m/s2
0.19 m/s2

0.16 m/s²

From one of the equation of linear motion;

vf2 - vi2 = 2ax

Where;

vf = final speed after traveling a distance x at constant acceleration; vf = 42 m/s

vi = initial speed = 0 (starts from rest)

a = constant acceleration while traveling a distance x

x = distance traveled at constant acceleration; x = 5.6 km = 5600 m

Therefore;

a = vf2/(2x)

  = 422/(2*5600) m/s²

  = 0.1575 m/s²

   ≅ 0.16 m/s²

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.